Question

PRACTICE: Complete the table. Justify your reasoning.Perfect Square
Square Root
Justification
Math Input: 5
Math Input: 5 "x" 5 equals 25
Math Input: 6
Math Input: 6 "x" 6 equals 36
Math Input: 49
Math Input: 7 "x" 7 equals 49
Math Input: 81
Math Input: 9 "x" 9 equals 81
Math Input: 10
Math Input: 10 "x" 10 equals 100
Math Input:
Math Input:

Answer 1

To complete the table, we'll identify the perfect squares and calculate their square roots. A perfect square is a number that can be expressed as the product of an integer multiplied by itself. The square root is the integer value that, when multiplied by itself, yields the perfect square.

Here's the filled-out table with justifications:

| Perfect Square | Square Root | Justification |
|----------------|-------------|----------------------------------------|
| 25 | 5 | 5 x 5 equals 25 |
| 36 | 6 | 6 x 6 equals 36 |
| 49 | 7 | 7 x 7 equals 49 |
| 81 | 9 | 9 x 9 equals 81 |
| 100 | 10 | 10 x 10 equals 100 |

Now let’s add a few more perfect squares for further practice:

| Perfect Square | Square Root | Justification |
|----------------|-------------|----------------------------------------|
| 1 | 1 | 1 x 1 equals 1 |
| 4 | 2 | 2 x 2 equals 4 |
| 16 | 4 | 4 x 4 equals 16 |
| 64 | 8 | 8 x 8 equals 64 |
| 121 | 11 | 11 x 11 equals 121 |

### Final Completed Table:

| Perfect Square | Square Root | Justification |
|----------------|-------------|----------------------------------------|
| 25 | 5 | 5 x 5 equals 25 |
| 36 | 6 | 6 x 6 equals 36 |
| 49 | 7 | 7 x 7 equals 49 |
| 81 | 9 | 9 x 9 equals 81 |
| 100 | 10 | 10 x 10 equals 100 |
| 1 | 1 | 1 x 1 equals 1 |
| 4 | 2 | 2 x 2 equals 4 |
| 16 | 4 | 4 x 4 equals 16 |
| 64 | 8 | 8 x 8 equals 64 |
| 121 | 11 | 11 x 11 equals 121 |

These entries show a range of perfect squares along with their corresponding square roots, all justified by demonstrating the multiplication that leads to each perfect square.